Quantum multigraph states and multihypergraph states

We proposed two classes of multiparticle entangled states, the multigraph states and multihypergraph states, defined by unique operations on the edges and hyperedges. A key discovery is the one-to-one correspondence between the proposed multihypergraph states and the generalized real equally weighte...

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Bibliographic Details
Published inarXiv.org
Main Authors Xiao-Dong, Zhang, Bin-Bin, Cai, Song, Lin
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.12.2023
Subjects
Entangled states
Graph theory
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Summary:We proposed two classes of multiparticle entangled states, the multigraph states and multihypergraph states, defined by unique operations on the edges and hyperedges. A key discovery is the one-to-one correspondence between the proposed multihypergraph states and the generalized real equally weighted states when d is prime. While for composite d, multihypergraph states form a subset of the generalized real equally weighted states. Meanwhile, we detailed a method for constructing real equally weighted states from hypergraph states and revealed the generalized real equally weighted states which cannot be generated from d-dimensional hypergraph states.
ISSN:2331-8422